Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency

Autor: Giovanni Cataldi, Ashkan Abedi, Giuseppe Magnifico, Simone Notarnicola, Nicola Dalla Pozza, Vittorio Giovannetti, Simone Montangero

Publikováno v: Quantum, Vol 5, p 556 (2021)

We present a novel mapping for studying 2D many-body quantum systems by solving an effective, one-dimensional long-range model in place of the original two-dimensional short-range one. In particular, we address the problem of choosing an efficient ma

Externí odkaz: https://doaj.org/article/2e446e8e6b374e088f2b7e2585721509

Homogeneous Floquet time crystal protected by gauge invariance

Autor: Angelo Russomanno, Simone Notarnicola, Federica Maria Surace, Rosario Fazio, Marcello Dalmonte, Markus Heyl

Publikováno v: Physical Review Research, Vol 2, Iss 1, p 012003 (2020)

We show that homogeneous lattice gauge theories can realize nonequilibrium quantum phases with long-range spatiotemporal order protected by gauge invariance instead of disorder. We study a kicked Z_{2}-Higgs gauge theory and find that it breaks the d

Externí odkaz: https://doaj.org/article/dcfe38f4f26f42599a4494d61180b7dd

Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency

Autor: Vittorio Giovannetti, Giovanni Cataldi, Simone Montangero, Nicola Dalla Pozza, Simone Notarnicola, Giuseppe Magnifico, Ashkan Abedi

Publikováno v: Quantum, Vol 5, p 556 (2021)
Quantum (Vienna) 5 (2021):--–--. doi:10.22331/Q-2021-09-29-556
info:cnr-pdr/source/autori:Cataldi G.; Abedi A.; Magnifico G.; Notarnicola S.; Pozza N.D.; Giovannetti V.; Montangero S./titolo:Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency/doi:10.22331%2FQ-2021-09-29-556/rivista:Quantum (Vienna)/anno:2021/pagina_da:--/pagina_a:--/intervallo_pagine:--–--/volume:5
Quantum

We present a novel mapping for studying 2D many-body quantum systems by solving an effective, one-dimensional long-range model in place of the original two-dimensional short-range one. In particular, we address the problem of choosing an efficient ma

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84603deed4999b8e3e3ca6e5441f7058
https://quantum-journal.org/papers/q-2021-09-29-556/pdf/

Slow heating in a quantum coupled kicked rotors system

Autor: Angelo Russomanno, Rosario Fazio, Simone Notarnicola, Alessandro Silva

Publikováno v: Journal of Statistical Mechanics: Theory and Experiment

We consider a finite-size periodically driven quantum system of coupled kicked rotors which exhibits two distinct regimes in parameter space: a dynamically-localized one with kinetic-energy saturation in time and a chaotic one with unbounded energy a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8ad0d8ba4ee824df7c205ed4a5191c4
https://hdl.handle.net/21.11116/0000-0008-9E75-321.11116/0000-0008-9E77-1

Entangled quantum cellular automata, physical complexity, and Goldilocks rules

Autor: Logan Hillberry, Nicole Yunger Halpern, Ning Bao, Simone Montangero, Matthew T. Jones, Lincoln D. Carr, Patrick Rall, Simone Notarnicola, David L. Vargas

Publikováno v: Quantum Science and Technology

Cellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that quantum cellular automata (QCA) can exhibit complexity in the sense o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9895850e02c8cef15b3917743dd37c5
https://doi.org/10.1088/2058-9565/ac1c41